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Estimated time of infection vs. confirmed infections

Following the ideas from Tomas Pueyo's Medium post "Coronavirus: Why You Must Act Now" [1], we assume the average time from infection to death at 23 days [2]. The data is pulled from the COVID-19 Data Repository by Johns Hopkins CSSE [3] every hour. Countries with a minimnum of 1000 confirmed cases and 40 confirmed deaths are included in this analysis.

The time from infection to death is equal to the incubation period plus the time from symptoms to death. This is used to estimate the time of the infections that lead to the observed deaths. We take the last fatality rate per country (total_cases/total_deaths) to estimate the number of infections that are responsible for the observed deaths.

In the figures below, you can observe successive waves of infections (dashed), detections (black) and deaths (red) for each country. The upper panel shows the absolute number of events. The dashed lines show the estimated number of infections. The lower panel shows the normalized number of events. Here the temporal delay between the waves and the relative change between each other can be observed.

[1] https://medium.com/@tomaspueyo/coronavirus-act-today-or-people-will-die-f4d3d9cd99ca

[2] https://github.com/midas-network/COVID-19/tree/master/parameter_estimates/2019_novel_coronavirus

[3] https://github.com/CSSEGISandData/COVID-19/tree/master/csse_covid_19_data/csse_covid_19_time_series

US
Brazil
India
Mexico
Peru
Russia
United Kingdom
Italy
Colombia
France
Argentina
Indonesia
Iran
Germany
Spain
Poland
South Africa
Ukraine
Turkey
Chile
Romania
Ecuador
Czechia
Hungary
Philippines
Canada
Belgium
Pakistan
Bangladesh
Tunisia
Iraq
Bulgaria
Netherlands
Bolivia
Portugal
Egypt
Japan
Paraguay
Sweden
Greece
Slovakia
Burma
Switzerland
Guatemala
Austria
Malaysia
Morocco
Jordan
Nepal
Kazakhstan
Bosnia and Herzegovina
Saudi Arabia
Croatia
Honduras
Lebanon
Serbia
Panama
Afghanistan
Israel
Moldova
Thailand
Georgia
Uruguay
North Macedonia
Costa Rica
Sri Lanka
Azerbaijan
Ireland
Armenia
China
Algeria
Slovenia
Lithuania
Ethiopia
Kenya
Dominican Republic
Oman
Zimbabwe
Libya
Venezuela
West Bank and Gaza
Belarus
Zambia
Cuba
Vietnam
Namibia
Uganda
Sudan
El Salvador
Latvia
Denmark
Albania
Kyrgyzstan
Kuwait
Kosovo
Nigeria
South Korea
United Arab Emirates
Syria
Malawi
Botswana
Montenegro
Mozambique
Cambodia
Senegal
Bahrain
Cameroon
Estonia
Jamaica
Trinidad and Tobago
Angola
Congo (Kinshasa)
Finland
Madagascar
Australia
Uzbekistan
Rwanda
Ghana
Eswatini
Mongolia
Somalia
Luxembourg
Taiwan*
Norway
Suriname
Mauritania
Qatar
Haiti
Guyana
Mali
Cyprus
Malta
Lesotho
Cote d'Ivoire
Belize
Bahamas
Fiji
Cabo Verde
Guinea
Maldives
Hong Kong
Papua New Guinea
Congo (Brazzaville)
Burkina Faso
Gabon
Togo
Djibouti
Andorra
Tajikistan
South Sudan

Ahead of the curve

Some countries start testing the population earlier in the outbreak than others. The time delay between the wave of deaths and the wave of confirmed cases is indicative for how early a country is detecting new cases ahead of the increase of deaths. Earlier detection means a better chances for successful isolation of an infected person and treatment of the desease.

We measure the distance of the maximum of cumulative deaths and new deaths to the number of infections to estimate the progression of the infection across countries.

If, in the early phase of the infection wave, the number of deaths rises faster than the number of confirmed cases, the distance drops, indicating that

A comparison of countries with respect to their mean time for reponse is presented below.

To determine the above values, we plot the number of confirmed cases (solid black lines) and the number of deaths (dashed black lines). From this, we measure the distance of the day of maximum deaths (dashed red lines) to the day of confirmed cases at this y-value.

The distance is indicative for how fast the humber of confirmed cases increases comapred to the increase of the number of deaths.

US
Brazil
India
Mexico
Peru
Russia
United Kingdom
Italy
Colombia
France
Argentina
Indonesia
Iran
Germany
Spain
Poland
South Africa
Ukraine
Turkey
Chile
Romania
Ecuador
Czechia
Hungary
Philippines
Canada
Belgium
Pakistan
Bangladesh
Tunisia
Iraq
Bulgaria
Netherlands
Bolivia
Portugal
Egypt
Japan
Paraguay
Sweden
Greece
Slovakia
Burma
Switzerland
Guatemala
Austria
Malaysia
Morocco
Jordan
Nepal
Kazakhstan
Bosnia and Herzegovina
Saudi Arabia
Croatia
Honduras
Lebanon
Serbia
Panama
Afghanistan
Israel
Moldova
Thailand
Georgia
Uruguay
North Macedonia
Costa Rica
Sri Lanka
Azerbaijan
Ireland
Armenia
China
Algeria
Slovenia
Lithuania
Ethiopia
Kenya
Dominican Republic
Oman
Zimbabwe
Libya
Venezuela
West Bank and Gaza
Belarus
Zambia
Cuba
Vietnam
Namibia
Uganda
Sudan
El Salvador
Latvia
Denmark
Albania
Kyrgyzstan
Kuwait
Kosovo
Nigeria
South Korea
United Arab Emirates
Syria
Malawi
Botswana
Montenegro
Mozambique
Cambodia
Senegal
Bahrain
Cameroon
Estonia
Jamaica
Trinidad and Tobago
Angola
Congo (Kinshasa)
Finland
Madagascar
Australia
Uzbekistan
Rwanda
Ghana
Eswatini
Mongolia
Somalia
Luxembourg
Taiwan*
Norway
Suriname
Mauritania
Qatar
Haiti
Guyana
Mali
Cyprus
Malta
Lesotho
Cote d'Ivoire
Belize
Bahamas
Fiji
Cabo Verde
Guinea
Maldives
Hong Kong
Papua New Guinea
Congo (Brazzaville)
Burkina Faso
Gabon
Togo
Djibouti
Andorra
Tajikistan
South Sudan